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The side of the square given below is 10 m and the breadth of the shaded portion is 2 m. Find the area of the shaded portion.

The side of the square given below is 10 m and the breadth of the shaded portion is 2 m. Find the area of the shaded portion. - question image
A
44 m²
B
36 m²
C
40 m²
D
42 m²
Correct Option: B

Explanation

The shaded cross is the union of a 10 m × 2 m vertical strip and a 10 m × 2 m horizontal strip. Their 2 m × 2 m intersection is counted twice, so:

10(2)+10(2)-2(2)=20+20-4=36 m².

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